Zobrazeno 1 - 10
of 406
pro vyhledávání: '"KOVÁCS, SÁNDOR J."'
Autor:
Kovács, Sándor J, Taji, Behrouz
In this paper we are making the first step toward answering a question posed by Steven Zucker at a JAMI conference at Johns Hopkins University in 1996, organized by Vyacheslav Shokurov.
Comment: This paper is to appear in a volume dedicated to t
Comment: This paper is to appear in a volume dedicated to t
Externí odkaz:
http://arxiv.org/abs/2307.07192
Autor:
Kollár, János, Kovács, Sándor J
KSB stability holds at codimension 1 points trivially, and it is quite well understood at codimension 2 points, since we have a complete classification of 2-dimensional slc singularities. We show that it is automatic in codimension 3.
Comment: v
Comment: v
Externí odkaz:
http://arxiv.org/abs/2304.09009
Autor:
Kollár, János, Kovács, Sándor J
In this note we generalize the results of [KK10] and [KK20] by showing that if a closed subset V of X is "close enough" to being a union of log canonical centers, then it is Du Bois.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2209.14480
Autor:
Kovács, Sándor J, Taji, Behrouz
We develop a Hodge theoretic invariant for families of projective manifolds that measures the potential failure of an Arakelov-type inequality in higher dimensions, one that naturally generalizes the classical Arakelov inequality over regular quasi-p
Externí odkaz:
http://arxiv.org/abs/2205.00761
Autor:
Kovács, Sándor J., Taji, Behrouz
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field has no poles, arising from a flat projective family of varieties parametrized by a regular complex base scheme, extending the analogous classical result
Externí odkaz:
http://arxiv.org/abs/2103.03515
Autor:
Kovács, Sándor J
In this note I extend two theorems of Sommese regarding abelian varieties to arbitrary characteristic; that an abelian variety cannot be an ample divisor in a smooth projective variety and that a cone over an abelian variety of dimension at least two
Externí odkaz:
http://arxiv.org/abs/1912.07231
Autor:
Kollár, János, Kovács, Sándor J
We introduce a lifting property for local cohomology, which leads to a unified treatment of the dualizing complex for flat morphisms with semi-log-canonical, Du Bois or F-pure fibers. As a consequence we obtain that, in all 3 cases, the cohomology sh
Externí odkaz:
http://arxiv.org/abs/1807.07417
Autor:
Kollár, János, Kovács, Sándor J
We prove that the cohomology sheaves of the relative dualizing complex of a flat family of varieties with semi-log-canonical or Du Bois singularities are flat and commute with base change. This is a local version of our earlier similar result where t
Externí odkaz:
http://arxiv.org/abs/1803.03325
Autor:
Chan, Daniel, Chan, Kenneth, de Völcsey, Louis de Thanhoffer, Ingalls, Colin, Jabbusch, Kelly, Kovács, Sándor J, Kulkarni, Rajesh, Lerner, Boris, Nanayakkara, Basil, Okawa, Shinnosuke, Bergh, Michel Van den
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log varieties. We show that the main theorems of the log MMP work in the set
Externí odkaz:
http://arxiv.org/abs/1707.00834
Autor:
Kovács, Sándor J
A resolution-free definition of rational singularities is introduced, and it is proved that for a variety admitting a resolution of singularities, so in particular in characteristic zero, this is equivalent to the usual definition. It is also demonst
Externí odkaz:
http://arxiv.org/abs/1703.02269