List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2017 |
1. |
V. Voevodsky, “The $(\Pi, \lambda)$-structures on the C-systems defined by universe categories”, Theory Appl. Categ., 32:4 (2017), 113–121 |
2. |
V. Voevodsky, “C-systems defined by universe categories: presheaves”, Theory Appl. Categ., 32:3 (2017), 53–112 |
3. |
B. Ahrens , P.L. Lumsdaine, V. Voevodsky, “Categorical structures for type theory in univalent foundations”, 26th EACSL Annual Conference on Computer Science Logic, Leibniz International Proceedings in Informatics, 82, 2017, 8:1-8:16 |
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2016 |
4. |
V. Voevodsky, “Products of families of types and $(\Pi,\lambda)$-structures on C-systems”, Theory Appl. Categ., 31:36 (2016), 1044–1094 |
5. |
V. Voevodsky, “Subsystems and regular quotients of C-systems”, A panorama of mathematics: pure and applied, Contemp. Math., 658, Amer. Math. Soc., Providence, RI, 2016, 127–137
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4
[x]
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2015 |
6. |
V. Voevodsky, “A C-system defined by a universe category”, Theory Appl. Categ., 30:37 (2015), 1181–1215 |
7. |
V. Voevodsky, “An experimental library of formalized mathematics based on the univalent foundations”, Math. Structures Comput. Sci., 25:5 (2015), 1278–1294
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35
[x]
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8. |
A. Pelayo, V. Voevodsky, M. A. Warren, “A univalent formalization of the $p$-adic numbers”, Math. Structures Comput. Sci., 25:5 (2015), 1147–1171
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4
[x]
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2011 |
9. |
V. Voevodsky, “On motivic cohomology with $\mathbf Z/l$-coefficients”, Ann. of Math. (2), 174:1 (2011), 401–438
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162
[x]
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10. |
Mini-workshop: The homotopy interpretation of constructive type theory, Abstracts from the mini-workshop held February 27th-March 05th, 2011, Oberwolfach Rep., 8, no. 1, eds. S. Awodey, R. Garner, P. Martin-Löf, V. Voevodsky, 2011 |
11. |
V. Voevodsky, “Univalent Foundations of Mathematics”, 18th Workshop on Logic, Language, Information and Computation, Lecture Notes in Artificial Intelligence, 6642, 2011, 4 |
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2010 |
12. |
V. Voevodsky, “Cancellation theorem”, Doc. Math., 2010, Andrei A. Suslin sixtieth birthday, 671–685 |
13. |
V. Voevodsky, “Motivic Eilenberg-Maclane spaces”, Publ. Math. Inst. Hautes Études Sci., 2010, no. 112, 1–99 |
14. |
V. Voevodsky, “Simplicial radditive functors”, J. K-Theory, 5:2 (2010), 201–244
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12
[x]
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15. |
V. Voevodsky, “Motives over simplicial schemes”, J. K-Theory, 5:1 (2010), 1–38
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10
[x]
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16. |
V. Voevodsky, “Unstable motivic homotopy categories in Nisnevich and cdh-topologies”, J. Pure Appl. Algebra, 214:8 (2010), 1399–1406
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25
[x]
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17. |
V. Voevodsky, “Homotopy theory of simplicial sheaves in completely decomposable topologies”, J. Pure Appl. Algebra, 214:8 (2010), 1384–1398
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39
[x]
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2007 |
18. |
V. Voevodsky, O. Röndigs, P. A. Østvær, “Voevodsky's Nordfjordeid lectures: motivic homotopy theory”, Motivic homotopy theory, Universitext, Springer, Berlin, 2007, 147–221
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5
[x]
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19. |
B. I. Dundas, M. Levine, P. A. Østvær, O. Röndigs, V. Voevodsky, Motivic homotopy theory, Lectures from the Summer School held in Nordfjordeid, August 2002, Universitext, Springer-Verlag, Berlin, 2007, x+221 pp.
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16
[x]
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20. |
D. Orlov, A. Vishik, V. Voevodsky, “An exact sequence for $K^M_\ast/2$ with applications to quadratic forms”, Ann. of Math. (2), 165:1 (2007), 1–13
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98
[x]
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2006 |
21. |
C. Mazza, V. Voevodsky, Ch. Weibel, Lecture notes on motivic cohomology, Clay Mathematics Monographs, 2, American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA, 2006, xiv+216 pp. |
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2004 |
22. |
Proc. Steklov Inst. Math., 246 (2004), 93–102 |
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2003 |
23. |
V. Voevodsky, “Motivic cohomology with ${\mathbf Z}/2$-coefficients”, Publ. Math. Inst. Hautes Études Sci., 2003, no. 98, 59–104
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200
[x]
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24. |
V. Voevodsky, “Reduced power operations in motivic cohomology”, Publ. Math. Inst. Hautes Études Sci., 2003, no. 98, 1–57 |
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2002 |
25. |
V. Voevodsky, “Open problems in the motivic stable homotopy theory. I”, Motives, polylogarithms and Hodge theory, Part I (1998, Irvine, CA), Int. Press Lect. Ser., 3, Int. Press, Somerville, MA, 2002, 3–34 |
26. |
V. Voevodsky, “A possible new approach to the motivic spectral sequence for algebraic $K$-theory”, Recent progress in homotopy theory (2000, Baltimore, MD), Contemp. Math., 293, Amer. Math. Soc., Providence, RI, 2002, 371–379
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16
[x]
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27. |
V. Voevodsky, “Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic”, Int. Math. Res. Not., 2002, no. 7, 351–355
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58
[x]
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2000 |
28. |
V. Voevodsky, “Triangulated categories of motives over a field”, Cycles, transfers, and motivic homology theories, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000, 188–238 |
29. |
E. M. Friedlander, V. Voevodsky, “Bivariant cycle cohomology”, Cycles, transfers, and motivic homology theories, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000, 138–187 |
30. |
V. Voevodsky, “Cohomological theory of presheaves with transfers”, Cycles, transfers, and motivic homology theories, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000, 87–137 |
31. |
A. Suslin, V. Voevodsky, “Relative cycles and Chow sheaves”, Cycles, transfers, and motivic homology theories, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000, 10–86 |
32. |
E. M. Friedlander, A. Suslin, V. Voevodsky, “Introduction”, Cycles, transfers, and motivic homology theories, Ann. of Math. Stud., 143, Princeton Univ. Press, Princeton, NJ, 2000, 3–9 |
33. |
V. Voevodsky, A. Suslin, E. M. Friedlander, Cycles, transfers, and motivic homology theories, Annals of Mathematics Studies, 143, Princeton University Press, Princeton, NJ, 2000, vi+254 pp. |
34. |
A. Suslin, V. Voevodsky, “Bloch-Kato conjecture and motivic cohomology with finite coefficients”, The arithmetic and geometry of algebraic cycles (1998, Banff, AB), NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, 2000, 117–189 |
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1999 |
35. |
F. Morel, V. Voevodsky, “${\mathbf A}^1$-homotopy theory of schemes”, Inst. Hautes Études Sci. Publ. Math., 1999, no. 90, 45–143 (2001)
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385
[x]
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36. |
V. Voevodsky, “Voevodsky's Seattle lectures: $K$-theory and motivic cohomology”, Notes by C. Weibel, Algebraic $K$-theory (1997, Seattle, WA), Proc. Sympos. Pure Math., 67, Amer. Math. Soc., Providence, RI, 1999, 283–303
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13
[x]
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1998 |
37. |
V. Voevodsky, “$\mathbf A^1$-homotopy theory”, Doc. Math., Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, 1998), no. Extra Vol. I, 1998, 579–604 |
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1996 |
38. |
V. Voevodsky, “Homology of schemes”, Selecta Math. (N.S.), 2:1 (1996), 111–153
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63
[x]
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39. |
A. Suslin, V. Voevodsky, “Singular homology of abstract algebraic varieties”, Invent. Math., 123:1 (1996), 61–94
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114
[x]
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1995 |
40. |
V. Voevodsky, “A nilpotence theorem for cycles algebraically equivalent to zero”, Internat. Math. Res. Notices, 1995, no. 4, 187–198
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39
[x]
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1994 |
41. |
M. M. Kapranov, V. A. Voevodsky, “$2$-categories and Zamolodchikov tetrahedra equations”, Algebraic groups and their generalizations: quantum and infinite-dimensional methods (1991, University Park, PA), Proc. Sympos. Pure Math., 56, Amer. Math. Soc., Providence, RI, 1994, 177–259
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95
[x]
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42. |
M. Kapranov, V. Voevodsky, “Braided monoidal $2$-categories and Manin-Schechtman higher braid groups”, J. Pure Appl. Algebra, 92:3 (1994), 241–267
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35
[x]
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1991 |
43. |
V. A. Voevodskii, “On Galois groups of functional fields over fields of finite type over $\mathbb Q$”, Russian Math. Surveys, 46:5 (1991), 202–203 |
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1992 |
44. |
V. A. Voevodskii, “Galois representations connected with hyperbolic curves”, Math. USSR-Izv., 39:3 (1992), 1281–1291 |
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1991 |
45. |
M. M. Kapranov, V. A. Voevodsky, “$\infty$-groupoids and homotopy types”, International Category Theory Meeting (Bangor, 1989 and Cambridge, 1990), Cahiers Topologie Géom. Différentielle Catég., 32:1 (1991), 29–46 |
46. |
M. M. Kapranov, V. A. Voevodsky, “Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders (list of results)”, International Category Theory Meeting (Bangor, 1989 and Cambridge, 1990), Cahiers Topologie Géom. Différentielle Catég., 32:1 (1991), 11–27 |
47. |
V. A. Voevodskii, M. M. Kapranov, “Free $n$-category generated by a cube, oriented matroids, and higher Bruhat orders”, Funct. Anal. Appl., 25:1 (1991), 50–52 |
48. |
V. A. Voevodskii, “Etale topologies of schemes over fields of finite type over $\mathbf Q$”, Math. USSR-Izv., 37:3 (1991), 511–523 |
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1990 |
49. |
G. B. Shabat, V. A. Voevodsky, “Drawing curves over number fields”, The Grothendieck Festschrift, Vol. III, Progr. Math., 88, Birkhäuser Boston, Boston, MA, 1990, 199–227 |
50. |
V. A. Voevodskii, M. M. Kapranov, “$\infty$-Groupoids as a model for a homotopy category”, Russian Math. Surveys, 45:5 (1990), 239–240 |
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1989 |
51. |
V. A. Voevodsky, G. B. Shabat, “Equilateral triangulations of Riemann surfaces, and curves over
algebraic number fields”, Dokl. Math., 39:1 (1989), 38–41 |
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