Hirokazu Nasu
Research output

Publications

Peer-reviewed work on Hilbert schemes, deformation theory, obstructed curves, K3 surfaces,
del Pezzo surfaces, and Fano varieties.

Obstructions to deforming space curves lying on a del Pezzo surface
Manuscripta Mathematica 177 (2026), no. 3, Paper No. 33, 30 pp. · DOI
Obstructions to deforming space curves lying on a smooth cubic surface
Manuscripta Mathematica 172 (2023), nos. 1–2, 31–55. · DOI
Obstructions to deforming curves on an Enriques-Fano 3-fold
Journal of Pure and Applied Algebra 225 (2021), no. 9, 106677, 15 pp. · DOI
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. · DOI
Obstructions to deforming curves on a prime Fano 3-fold
Mathematische Nachrichten 292 (2019), no. 8, 1777–1790. · DOI
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 pp. · DOI
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. · DOI
Obstructions to deforming curves on a 3-fold, I: A generalization of Mumford's example and an application to Hom schemes
with Shigeru Mukai, Journal of Algebraic Geometry 18 (2009), 691–709. · DOI
Deformations of degenerate curves on a Segre 3-fold
in Higher Dimensional Algebraic Varieties and Vector Bundles, RIMS Kôkyûroku Bessatsu B9 (2008), 163–174. · Repository
The Hilbert scheme of space curves of degree d and genus 3d−18
Communications in Algebra 36 (2008), 4163–4185. · DOI
Obstructions to deforming space curves and non-reduced components of the Hilbert scheme
Publ. Res. Inst. Math. Sci. 42 (2006), 117–141. · DOI

Other articles

Proceedings articles and publications in Japanese are listed on the existing supplementary publications page and in my full CV.