Geometric invariant theory of syzygies, with applications to moduli
spaces
M. Fedorchuk. (2017)cite arxiv:1712.02776Comment: v1: 23 pages, submitted to the Proceedings of the Abel Symposium 2017, v2: final version, corrects a sign error and resulting divisor class calculations on the moduli space of K3 surfaces in Section 5, other minor changes, In: Christophersen J., Ranestad K. (eds) Geometry of Moduli. Abelsymposium 2017. Abel Symposia, vol 14. Springer, Cham.
DOI: 10.1007/978-3-319-94881-2_5
Abstract
We define syzygy points of projective schemes, and introduce a program of
studying their GIT stability. Then we describe two cases where we have managed
to make some progress in this program, that of polarized K3 surfaces of odd
genus, and of genus six canonical curves. Applications of our results include
effectivity statements for divisor classes on the moduli space of odd genus K3
surfaces, and a new construction in the Hassett-Keel program for the moduli
space of genus six curves.
Description
Geometric invariant theory of syzygies, with applications to moduli spaces
cite arxiv:1712.02776Comment: v1: 23 pages, submitted to the Proceedings of the Abel Symposium 2017, v2: final version, corrects a sign error and resulting divisor class calculations on the moduli space of K3 surfaces in Section 5, other minor changes, In: Christophersen J., Ranestad K. (eds) Geometry of Moduli. Abelsymposium 2017. Abel Symposia, vol 14. Springer, Cham
%0 Generic
%1 fedorchuk2017geometric
%A Fedorchuk, Maksym
%D 2017
%K GIT
%R 10.1007/978-3-319-94881-2_5
%T Geometric invariant theory of syzygies, with applications to moduli
spaces
%U http://arxiv.org/abs/1712.02776
%X We define syzygy points of projective schemes, and introduce a program of
studying their GIT stability. Then we describe two cases where we have managed
to make some progress in this program, that of polarized K3 surfaces of odd
genus, and of genus six canonical curves. Applications of our results include
effectivity statements for divisor classes on the moduli space of odd genus K3
surfaces, and a new construction in the Hassett-Keel program for the moduli
space of genus six curves.
@misc{fedorchuk2017geometric,
abstract = {We define syzygy points of projective schemes, and introduce a program of
studying their GIT stability. Then we describe two cases where we have managed
to make some progress in this program, that of polarized K3 surfaces of odd
genus, and of genus six canonical curves. Applications of our results include
effectivity statements for divisor classes on the moduli space of odd genus K3
surfaces, and a new construction in the Hassett-Keel program for the moduli
space of genus six curves.},
added-at = {2018-12-05T01:52:10.000+0100},
author = {Fedorchuk, Maksym},
biburl = {https://www.bibsonomy.org/bibtex/29f78d97664a12fdc36564b3cb6d8c9f7/taka3617},
description = {Geometric invariant theory of syzygies, with applications to moduli spaces},
doi = {10.1007/978-3-319-94881-2_5},
interhash = {0b913d4be28e3a42a8d2a969cbce6e19},
intrahash = {9f78d97664a12fdc36564b3cb6d8c9f7},
keywords = {GIT},
note = {cite arxiv:1712.02776Comment: v1: 23 pages, submitted to the Proceedings of the Abel Symposium 2017, v2: final version, corrects a sign error and resulting divisor class calculations on the moduli space of K3 surfaces in Section 5, other minor changes, In: Christophersen J., Ranestad K. (eds) Geometry of Moduli. Abelsymposium 2017. Abel Symposia, vol 14. Springer, Cham},
timestamp = {2018-12-05T01:52:10.000+0100},
title = {Geometric invariant theory of syzygies, with applications to moduli
spaces},
url = {http://arxiv.org/abs/1712.02776},
year = 2017
}