Zobrazeno 1 - 10
of 263
pro vyhledávání: '"Kollár, Janos"'
Autor:
Kollár, János, Villalobos-Paz, David
We prove that the automorphism group of an affine, cubic surface with equation $xyz=g(x,y)$ contains ${\mathbb Z}$ as a finite index subgroup. These equations were first studied by Mordell. v.2: small changes, references updated.
Externí odkaz:
http://arxiv.org/abs/2410.03934
Autor:
Kollár, János
We determine the automorphism group of an open log K3 surface with irreducible boundary.
Externí odkaz:
http://arxiv.org/abs/2407.08051
Autor:
Kollár, János
Let $P\to X$ be a ${\mathbb P}^1$-bundle over a variety $X$. The aim of this note is to understand all connected, algebraic groups $$ \operatorname{Aut}^\circ(P)\subset G\subset \operatorname{Bir}( X\times {\mathbb P}^1). $$ We get a quite complete a
Externí odkaz:
http://arxiv.org/abs/2405.18201
Autor:
Kollár, János, Zhuang, Ziquan
We give a lower bound for the essential dimension of isogenies of complex abelian varieties. The bound is sharp in many cases. In particular, the multiplication-by-$m$ map is incompressible for every $m\geq 2$, confirming a conjecture of Brosnan.
Externí odkaz:
http://arxiv.org/abs/2402.15362
Autor:
Kim, Dano, Kollár, János
A plurisubharmonic weight is log canonical if it is at the critical point of turning non-integrable. Given a log canonical plurisubharmonic weight, we show that locally there always exists a log canonical `holomorphic' weight having the same non-inte
Externí odkaz:
http://arxiv.org/abs/2312.16140
Autor:
Kollár, János
Ottem and Rennemo constructed a Fano 4-fold with torsion in $H_2(X, \mathbb Z)$. We simplify the computation of $H_2(X, \mathbb Z)$ and also exhibit 2 lines $L', L''\subset X$ such that $L'- L''$ generates the torsion.
Comment: comments on arXiv
Comment: comments on arXiv
Externí odkaz:
http://arxiv.org/abs/2311.05399
Autor:
Kollár, János, Voisin, Claire
We prove in this paper the smoothability of cycles modulo rational equivalence in the Whitney range, that is, when the dimension is strictly smaller than the codimension. We introduce and study the class of cycles obtained as ``flat pushforwards of C
Externí odkaz:
http://arxiv.org/abs/2311.04714
Autor:
Kollár, János
We describe KSB smoothings of log canonical surface pairs $(S, D)$, where $D$ is a reduced curve. In sharp contrast with the $D=\emptyset$ case, cyclic quotient pairs always have KSB smoothings, usually forming many irreducible components. v.2: Refer
Externí odkaz:
http://arxiv.org/abs/2306.14991
Autor:
Kollár, János
A short essay on the life and mathematical heritage of Coble. A substantially edited version will be part of the series of biographical memoirs of past members of the National Academy of Sciences. Version 2: minor changes.
Externí odkaz:
http://arxiv.org/abs/2306.05940
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