Semantic Scholar Open Access 2002 25 sitasi

The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3

Yves Laszlo C. Pauly

Lihat Sumber DOI

Abstrak

Abstract Let X be a smooth projective curve of genus g⩾2 defined over an algebraically closed field k of characteristic p>0. Let MX(r) be the moduli space of semi-stable rank r vector bundles with fixed trivial determinant. The relative Frobenius map F : X→X 1 induces by pull-back a rational map V : M X 1 (r)→ M X (r) . We determine the equations of V in the following two cases (1) (g,r,p)=(2,2,2) and X nonordinary with Hasse–Witt invariant equal to 1 (see math.AG/0005044 for the case X ordinary), and (2) (g,r,p)=(2,2,3). We also show the existence of base points of V, i.e., semi-stable bundles E such that F ∗ E is not semi-stable, for any triple (g,r,p).

Topik & Kata Kunci

Mathematics

Penulis (2)

Yves Laszlo

C. Pauly

Format Sitasi

APA MLA BibTeX

Laszlo, Y., Pauly, C. (2002). The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3. https://doi.org/10.1016/S0001-8708(03)00211-1

Akses Cepat

Lihat di Sumber doi.org/10.1016/S0001-8708(03)00211-1

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 25×
Sumber Database: Semantic Scholar
DOI: 10.1016/S0001-8708(03)00211-1
Akses: Open Access ✓