Focal Schemes to Families of Secant Spaces to Canonical Curves

DOI10.1007/978-3-319-70566-8_15zbMath1402.14041arXiv1710.01923OpenAlexW2762421068MaRDI QIDQ4556581

Michael Hoff

Publication date: 16 November 2018

Published in: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01923

zbMATH Keywords

Torelli-type theoremBrill-Noether locusfocal scheme

Mathematics Subject Classification ID

Determinantal varieties (14M12) Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to number theory (11-06) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Projective techniques in algebraic geometry (14N05) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Proceedings, conferences, collections, etc. pertaining to commutative algebra (13-06) Computational aspects in algebraic geometry (14Qxx) Torelli problem (14C34) Computational aspects and applications of commutative rings (13Pxx) Computational number theory (11Yxx)

Uses Software

• RelativeCanonicalResolution

Cites Work

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• Focal varieties of curves of genus 6 and 8
• Singularities of the theta divisor and families of secant spaces to a canonical curve
• Generic Torelli for \(W_ d^ r\)
• On the geometry of canonical curves of odd genus
• Linear Sections of Determinantal Varieties

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