Tetragonal Canonical Curves
Algebraic Geometry
2025-12-19 v1
Authors:
Henry Fontana
Abstract
We compute the Harder-Narasimhan Filtration of the normal bundle NC/Pg−1 where C is a general tetragonal canonical curve of genus g.
Cite
@article{arxiv.2512.16191,
title = {Tetragonal Canonical Curves},
author = {Henry Fontana},
journal= {arXiv preprint arXiv:2512.16191},
year = {2025}
}
Related papers
View all related →
Algebraic Geometry · Mathematics
The Harder-Narasimhan Filtration of a Trigonal Canonical Curve
Henry Fontana
2025-05-22
Algebraic Geometry · Mathematics
On the Harder-Narasimhan filtration of the direct image of the structure sheaf
Indranil Biswas, Manish Kumar, A. J. Parameswaran
2026-04-27
Algebraic Geometry · Mathematics
The normal bundle of canonical genus 8 curves
Gregor Bruns
2017-03-28
Algebraic Geometry · Mathematics
Restricted tangent bundles for general free rational curves
Brian Lehmann, Eric Riedl
2021-04-09
Algebraic Geometry · Mathematics
A note on syzygies and normal generation for trigonal curves
Michael Hoff
2021-08-25
alg-geom · Mathematics
Classification of Varieties with Canonical Curve Section via Gaussian maps on Canonical Curves
C. Ciliberto, A. Lopez, R. Miranda
2019-07-02
Algebraic Geometry · Mathematics
Harder-Narasimhan filtrations of decorated vector bundles
Emanuel Roth, Florent Schaffhauser
2026-03-03
Algebraic Geometry · Mathematics
Resolutions of General Canonical Curves on Rational Normal Scrolls
Christian Bopp, Michael Hoff
2017-10-06
Algebraic Geometry · Mathematics
Filtration and splitting of the Hodge bundle on the non-varying strata of quadratic differentials
Dawei Chen, Fei Yu
2023-06-13
Algebraic Geometry · Mathematics
Interpolation for normal bundles of general curves
Atanas Atanasov, Eric Larson, David Yang
2016-06-16
Algebraic Geometry · Mathematics
Refinement of the Infinitesimal Variation of Hodge Structure: the case of canonical curves
Igor Reider
2026-01-12
Algebraic Geometry · Mathematics
On Harder-Narasimhan reductions for Higgs principal bundles
Arijit Dey, R Parthasarathi
2007-05-23
Algebraic Geometry · Mathematics
Rigid and stably balanced curves on Calabi-Yau and general-type hypersurfaces
Ziv Ran
2024-03-26
Algebraic Geometry · Mathematics
Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections
Andreas Leopold Knutsen
2019-04-16
Algebraic Geometry · Mathematics
Formalization of Harder-Narasimhan theory
Yijun Yuan
2026-02-17
K-Theory and Homology · Mathematics
Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curve
Guodong Zhou
2007-09-10
Algebraic Geometry · Mathematics
Codimension of jumping loci
Brian Lehmann, Eric Riedl, Sho Tanimoto
2025-04-29
Algebraic Geometry · Mathematics
Weierstrass filtration on Teichmuller curves and Lyapunov exponents
Fei Yu, Kang Zuo
2014-12-04
alg-geom · Mathematics
On Koszul property of the homogeneous coordinate ring of a curve
A. Polishchuk
2008-02-03
Algebraic Geometry · Mathematics
Projective Normality Of Algebraic Curves And Its Application To Surfaces
Seonja Kim, YoungRock Kim
2007-05-23
Algebraic Geometry · Mathematics
The normal bundle of a general canonical curve of genus at least 7 is semistable
Izzet Coskun, Eric Larson, Isabel Vogt
2023-06-12
Algebraic Geometry · Mathematics
On the Gieseker Harder-Narasimhan filtration for principal bundles
Indranil Biswas, Alfonso Zamora
2017-07-11
Algebraic Geometry · Mathematics
Weierstrass filtration on Teichm\"uller curves and Lyapunov exponents: Upper bounds
Fei Yu, Kang Zuo
2016-04-20
Algebraic Geometry · Mathematics
Wahl maps and extensions of canonical curves and K3 surfaces
Ciro Ciliberto, Thomas Dedieu, Edoardo Sernesi
2021-07-07
Algebraic Geometry · Mathematics
Very free rational curves in Fano varieties
Izzet Coskun, Geoffrey Smith
2021-06-04