A Brill - Noether Locus over a Non - Hyperelliptic Curve of Genus 4
نویسنده
چکیده
We prove that a certain Brill-Noether locus over a nonhyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
منابع مشابه
Locus over a Non - Hyperelliptic Curve of Genus 4
We prove that a certain Brill-Noether locus over a nonhyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
متن کاملAlgebraic and combinatorial Brill-Noether theory
The interplay between algebro-geometric and combinatorial Brill-Noether theory is studied. The Brill-Noether locus W r d (Γ) of a genus-g (non-metric) graph Γ is shown to be non-empty if the BrillNoether number ρd(g) is non-negative, as a consequence of the analogous fact for smooth projective curves. Similarly, the existence of a graph Γ for which W r d (Γ) is empty implies the emptiness of W ...
متن کاملVector Bundles and Brill–Noether Theory
After a quick review of the Picard variety and Brill–Noether theory, we generalize them to holomorphic rank-two vector bundles of canonical determinant over a compact Riemann surface. We propose several problems of Brill–Noether type for such bundles and announce some of our results concerning the Brill–Noether loci and Fano threefolds. For example, the locus of rank-two bundles of canonical de...
متن کاملBrill-Noether theory of binary curves
The theorems of Riemann, Clifford and Martens are proved for every line bundle parametrized by the compactified Jacobian of every binary curve. The Clifford index is used to characterize hyperelliptic and trigonal binary curves. The Brill-Noether theorem for r ≤ 2 is proved for a general binary curve.
متن کاملDu Val Curves and the Pointed Brill-noether Theorem
We show that a general curve in an explicit class of what we call Du Val pointed curves satisfies the Brill-Noether Theorem for pointed curves. Furthermore, we prove that a generic pencil of Du Val pointed curves is disjoint from all Brill-Noether divisors on the universal curve. This provides explicit examples of smooth pointed curves of arbitrary genus defined over Q which are Brill-Noether g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009