Hirokazu Nasu

I am a professor in the department of mathematical sciences at Tokai University in Japan.

Postal Address: Department of Mathematical Sciences, Tokai University, 4-1-1 Kitakaname, Hiratsuka-city, Kanagawa 259-1292, JAPAN
Visiting Address: 708, Building No.18, Kanagawa Shonan Campus
Tel: +81-463-58-1211 (ex. 3387)
Email: nasu accompanied by @tokai.ac.jp (changed on 2024/3/11)

Research

My field of study is Algebraic Geometry. I study the deformation theory of curves on a given fixed projective algebraic varietry. I am interested in a bad behavior in their deformations, which gives rise to a singularity of the Hilbert scheme.

Career

I completed my Ph.D. at the RIMS, Kyoto University in 2005 under the supervision of Prof. Shigeru Mukai. After the completion of my Ph.D, I spent three years at RIMS and six months in the University of Oslo as a postdoctoral researcher. In Oslo, I have worked on my project as a JSPS-FY2008 fellow with a help of Prof. Kristian Ranestad and Prof. Jan Oddvar Kleppe.

Publications

Obstructions to deforming space curves and non-reduced components of the Hilbert scheme, Publ. Res. Inst. Math. Sci. 42 (2006), 117-141.
The Hilbert scheme of space curves of degree d and genus 3d-18, Communications in Algebra, 36 (2008), 4163-4185.
Deformations of degenerate curves on a Segre 3-fold in "Higher Dimensional Algebraic Varieties and Vector Bundles" (ed. S. Mukai) RIMS Kôkyûroku Bessatsu, B9 (2008), 163-174.
Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes (with S. Mukai), Journal of Algebraic Geometry 18 (2009), 691-709.
Obstructions to deforming curves on a 3-fold, II: Deformations of degenerate curves on a del Pezzo 3-fold, Annales de L'Institut Fourier, 60 (2010), no.4, 1289-1316.
Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface, International Journal of Mathematics, 28 (2017), no.13, 1750099 [30 pages].
Obstructions to deforming curves on a prime Fano 3-fold, Mathematische Nachrichten, 292 (2019), no.8, 1777-1790.
Corrigendum to "Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface", International Journal of Mathematics, 31 (2020), no.12, 2092001, 6 pp.
Obstructions to deforming curves on an Enriques-Fano 3-fold, Journal of Pure and Applied Algebra, 225 (2021), no.9, 106677, 15 pp.
Obstructions to deforming space curves lying on a smooth cubic surface, Manuscripta Mathematica, 172 (2023), issue 1-2, 31-55.

Other articles (some are written in Japanese) can be found here.

Links

Revised at Mon Aug 28 11:48:48 JST 2023