Universität zu Köln

Hochenegger, Andreas ORCID: 0000-0001-9523-443X and Ilten, Nathan Owen (2013). Families of invariant divisors on rational complexity-one T-varieties. J. Algebra, 392. S. 52 - 69. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-266X

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Abstract

We study invariant divisors on the total spaces of the homogeneous deformations of rational complexity-one T-varieties constructed by Ilten and Vollmert (2012) [10]. In particular,. we identify a natural subgroup of the Picard group for any general fiber of such a deformation, which is canonically isomorphic to the Picard group of the special fiber. This isomorphism preserves Euler characteristic,, intersection numbers, and the canonical class. (C) 2013 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hochenegger, Andreas UNSPECIFIED orcid.org/0000-0001-9523-443X UNSPECIFIED Ilten, Nathan Owen UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-474016
DOI:	10.1016/j.jalgebra.2013.06.019
Journal or Publication Title:	J. Algebra
Volume:	392
Page Range:	S. 52 - 69
Date:	2013
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1090-266X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TORUS; DEFORMATIONS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47401