Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Burt Totaro"'
Autor:
Burt Totaro
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 5 (2021)
We formulate a conjecture on actions of the multiplicative group in motivic homotopy theory. In short, if the multiplicative group G_m acts on a quasi-projective scheme U such that U is attracted as t approaches 0 in G_m to a closed subset Y in U, th
Externí odkaz:
https://doaj.org/article/e860757cfc954122aca4b47df1849033
Autor:
Burt Totaro
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme $X^{[n]}$ has torsion-free cohomology for every natural number n. This extends earlier work by Markman on the case of Poisson surfaces.
Externí odkaz:
https://doaj.org/article/4692b4c327b646ff9b812fdadca64e09
Autor:
BURT TOTARO
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$ is a compactification of the configuration space of $a$ -element subsets of $X$ . The integral cohomology of $X^{[a]}$ is more subtle than the rational cohomology. In this paper, w
Externí odkaz:
https://doaj.org/article/b8bf989e46b14e61a6c68e8620a28fdf
Autor:
BURT TOTARO
Publikováno v:
Forum of Mathematics, Sigma, Vol 2 (2014)
We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of th
Externí odkaz:
https://doaj.org/article/438a03068a86438296e8dff99fd94531
Autor:
BURT TOTARO
Publikováno v:
Forum of Mathematics, Sigma, Vol 1 (2013)
Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex nu
Externí odkaz:
https://doaj.org/article/ab5946868d5f4c9081d12478ccf025ee
Autor:
Burt Totaro
Publikováno v:
International Mathematics Research Notices.
We construct klt projective varieties with ample canonical class and the smallest known volume. We also find exceptional klt Fano varieties with the smallest known anti-canonical volume. We conjecture that our examples have the smallest volume in eve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2c3c46c48890d0e2a8150021e2631a1
https://doi.org/10.1093/imrn/rnad047
https://doi.org/10.1093/imrn/rnad047
Autor:
Burt Totaro
Publikováno v:
International Mathematics Research Notices. 2022:7152-7201
We determine the mod p cohomological invariants for several affine group schemes G in chararacteristic p. These are invariants of G-torsors with values in etale motivic cohomology, or equivalently in Kato's version of Galois cohomology based on diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df6660d967ccdc81f6894354d87c6900
https://doi.org/10.1093/imrn/rnaa321
https://doi.org/10.1093/imrn/rnaa321
Publikováno v:
Journal of Fourier Analysis and Applications. 28
We determine the optimal inequality of the form $\sum_{k=1}^m a_k\sin kx\leq 1$, in the sense that $\sum_{k=1}^m a_k$ is maximal. We also solve exactly the analogous problem for the sawtooth (or signed fractional part) function. Equivalently, we solv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be6f3ec91b148fa043294cc12ad8116f
https://doi.org/10.1007/s00041-022-09909-7
https://doi.org/10.1007/s00041-022-09909-7
Autor:
Burt Totaro
Publikováno v:
Journal of Algebraic Geometry. 28:751-771
We show that the Kodaira vanishing theorem can fail on smooth Fano varieties of any characteristic p > 0. Taking cones over some of these varieties, we give the first examples of terminal singularities which are not Cohen-Macaulay. By a different met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6fa8c9de770329d8438dd2cede82390
https://doi.org/10.1090/jag/724
https://doi.org/10.1090/jag/724
Autor:
Burt Totaro
We formulate a conjecture on actions of the multiplicative group in motivic homotopy theory. In short, if the multiplicative group G_m acts on a quasi-projective scheme U such that U is attracted as t approaches 0 in G_m to a closed subset Y in U, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c97c3618475322cef83b2dfeae08c831
http://arxiv.org/abs/2009.07381
http://arxiv.org/abs/2009.07381
