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Geography of log models: theory and applications

100%

Shokurov V., Choi S.

Open Mathematics

2011

tom 9

nr 3

489-534

This is an introduction to geography of log models with applications to positive cones of Fano type (FT) varieties and to geometry of minimal models and Mori fibrations.

Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero

88%

Trepalin A.

Open Mathematics

2014

tom 12

nr 2

229-239

Let $$\Bbbk$$ be a field of characteristic zero and G be a finite group of automorphisms of projective plane over $$\Bbbk$$. Castelnuovo’s criterion implies that the quotient of projective plane by G is rational if the field $$\Bbbk$$ is algebraically closed. In this paper we prove that $${{\mathbb{P}_\Bbbk ^2 } \mathord{\left/ {\vphantom {{\mathbb{P}_\Bbbk ^2 } G}} \right. \kern-\nulldelimiterspace} G}$$ is rational for an arbitrary field $$\Bbbk$$ of characteristic zero.

Ograniczanie wyników

2 Open Mathematics

1 Choi S.

1 Shokurov V.

1 Trepalin A.

1 2014

1 2011

Wyniki wyszukiwania

Geography of log models: theory and applications

Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero