Tight Closure and Plus Closure for Cones Over Elliptic Curves

DOI10.1017/S0027763000009041zbMath1074.13003arXivmath/0209302OpenAlexW1554684104MaRDI QIDQ4676027

Holger Brenner

Publication date: 6 May 2005

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209302

zbMATH Keywords

characteristic \(p\)elliptic curvevector bundletight closureplus closuresolid closure

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Integral closure of commutative rings and ideals (13B22) Elliptic curves (14H52) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Tight closure of finite length modules in graded rings ⋮ Tight closure and projective bundles. ⋮ Slopes of vector bundles on projective curves and applications to tight closure problems ⋮ The symmetric signature ⋮ Dagger closure and solid closure in graded dimension two

Cites Work

• A computation of tight closure in diagonal hypersurfaces
• Tight closure of parameter ideals
• The adjunction theory of complex projective varieties
• Tight closure and projective bundles.
• Tight closure, plus closure and Frobenius closure in cubical cones
• Vector Bundles on an Elliptic Curve
• P-Ample Bundles and Their Chern Classes