Research keywords (5):
Brill-Noether theory
, vector bundle
, algebraic curve
, K3 surface, algebraic curve, vector bundle, Brill-Noether theory
, polarized algebraic surface
Research theme for competitive and other funds (3):
2016 - 2019 Brill-Noeter theory for semi stable bundles on curves which are contained in a K3 surface and around the fields
2011 - 2016 Theory of mixed log Hodge structures and its applications
2013 - 2016 Applications of researches on automorhisms group of K3 surfaces to the curve theory
Papers (17):
Kenta Watanabe, Jiryo Komeda. Lifts of line bundles on curves on K3 surfaces. Abh. Math. Semin. Univ. Hambg. 2024
Kenta Watanabe. On the classification of non-aCM curves on quintic surfaces in P3. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 2023
Kenta Watanabe. New examples of Weierstrass semigroups associated with a double covering of a curve on a Hirzebruch surface of degree one. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 2022
Kenta Watanabe. The characterization of aCM line bundles on quintic hypersurfaces in $$\mathbb {P}^3. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 2021
Kenta Watanabe. ACM bundles of rank 2 on quartic hypersurfaces in P3 and Lazarsfeld-Mukai bundles. arXiv:2001.00199 [math.AG]. 2020
Lectures and oral presentations (33):
Donagi-Morrison conjecture concerning lifts of line bundles on curves contained in a K3 surface and its applications
(2024)
On aCM curves on quintic hypersurfaces in P3
(The 19 th symposium on algebraic curves theory 2021)
ACM bundles of rank 2 on quartic hypersurfaces in P3 and Lazarsfeld-Mukai bundles
(17 th symposium on algebraic curve theory 2019)
On the classification of ACM bundles of rank 2 on polarized K3 surfaces and Lazarsfeld-Mukai bundles
(農工大数学セミナー2019 2019)
On the classification of rank two ACM bundles on quartic hypersurfaces in P^3
(Splitting, construction and stability of vector bundles and their applications 2018)