Gröbner techniques and ribbons

Anand Deopurkar; Maksym Fedorchuk; David Swinarski

Gröbner techniques and ribbons

Anand Deopurkar
, Maksym Fedorchuk
, David Swinarski

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

Abstract

We use Gr¨obner basis techniques to study the balanced canonical
ribbon in each odd genus g ≥ 5. We obtain equations and syzygies of the
ribbon, give a Gr¨obner interpretation of part of Alper, Fedorchuk, and Smyth’s
proof of finite Hilbert stability for canonical curves, and discuss the obstacles
in using ribbons to give a new proof of Generic Green’s Conjecture (Voisin’s
Theorem).

Original language	English
Number of pages	16
Journal	Albanian Journal of Mathematics
Publication status	Published - 2014

Cite this

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title = "Gr{\"o}bner techniques and ribbons",

abstract = "We use Gr¨obner basis techniques to study the balanced canonical ribbon in each odd genus g ≥ 5. We obtain equations and syzygies of the ribbon, give a Gr¨obner interpretation of part of Alper, Fedorchuk, and Smyth{\textquoteright}s proof of finite Hilbert stability for canonical curves, and discuss the obstacles in using ribbons to give a new proof of Generic Green{\textquoteright}s Conjecture (Voisin{\textquoteright}s Theorem).",

author = "Anand Deopurkar and Maksym Fedorchuk and David Swinarski",

year = "2014",

language = "English",

journal = "Albanian Journal of Mathematics",

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TY - JOUR

T1 - Gröbner techniques and ribbons

AU - Deopurkar, Anand

AU - Fedorchuk, Maksym

AU - Swinarski, David

PY - 2014

Y1 - 2014

N2 - We use Gr¨obner basis techniques to study the balanced canonical ribbon in each odd genus g ≥ 5. We obtain equations and syzygies of the ribbon, give a Gr¨obner interpretation of part of Alper, Fedorchuk, and Smyth’s proof of finite Hilbert stability for canonical curves, and discuss the obstacles in using ribbons to give a new proof of Generic Green’s Conjecture (Voisin’s Theorem).

AB - We use Gr¨obner basis techniques to study the balanced canonical ribbon in each odd genus g ≥ 5. We obtain equations and syzygies of the ribbon, give a Gr¨obner interpretation of part of Alper, Fedorchuk, and Smyth’s proof of finite Hilbert stability for canonical curves, and discuss the obstacles in using ribbons to give a new proof of Generic Green’s Conjecture (Voisin’s Theorem).

M3 - Article

JO - Albanian Journal of Mathematics

JF - Albanian Journal of Mathematics

ER -