Universität zu Köln

Chirivi, Rocco, Fang, Xin and Littelmann, Peter (2022). Seshadri stratification for Schubert varieties and standard monomial theory. Proc. Indian Acad. Sci.-Math. Sci., 132 (2). NEW DELHI: SPRINGER INDIA. ISSN 0973-7685

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Abstract

The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard monomial theory for embedded projective varieties with certain nice properties. In this article, we investigate the Seshadri stratification on a Schubert variety arising from its Schubert subvarieties. We show that the standard monomial theory developed in Littelmann (J. Am. Math. Soc. 11(3) (1998) 551-567) is compatible with this new strategy.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Chirivi, Rocco UNSPECIFIED UNSPECIFIED UNSPECIFIED Fang, Xin UNSPECIFIED UNSPECIFIED UNSPECIFIED Littelmann, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-664467
DOI:	10.1007/s12044-022-00707-1
Journal or Publication Title:	Proc. Indian Acad. Sci.-Math. Sci.
Volume:	132
Number:	2
Date:	2022
Publisher:	SPRINGER INDIA
Place of Publication:	NEW DELHI
ISSN:	0973-7685
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language G-P; GEOMETRY; REPRESENTATIONS; ALGEBRAS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66446