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Coherent systems on a nodal curve of genus one
Author(s) -
Bhosle Usha N.
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200910133
Subject(s) - mathematics , irreducibility , genus , smoothness , nodal , pure mathematics , algebra over a field , mathematical analysis , zoology , anatomy , biology , medicine
We study coherent systems on an irreducible nodal curve of arithmetic genus 1. We determine conditions for their non‐emptiness and study properties like irreducibility, smoothness, seminormality and rationality.