Luca Schaffler - Research
Preprints:
-
An explicit wall crossing for the moduli space of hyperplane arrangements (with P. Gallardo), (2024). Submitted. (arXiv)
-
Compact moduli of Enriques surfaces with a numerical polarization of degree 2 (with V. Alexeev, P. Engel, D. Z. Garza), (2023). Submitted. (arXiv)
Publications:
-
Simplices osculating rational normal curves (with A. Caminata, E. Carlini), (2024). To appear in Vietnam Journal of Mathematics. (arXiv)
-
The non-degeneracy invariant of Brandhorst and Shimada's families of Enriques surfaces (with R. Moschetti, F. Rota). Documenta Mathematica 29 (2024), no. 5, 1219–1242. (published version) (arXiv)
-
Determinantal varieties from point configurations on hypersurfaces (with A. Caminata, H.-B. Moon). International Mathematics Research Notices (2023), no. 22, 19743–19772. (published version) (arXiv)
-
Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces (with P. Gallardo, G. Pearlstein, Z. Zhang). Mathematische Nachrichten 297 (2024), no. 2, 595–628. (published version) (arXiv)
-
Gaussian likelihood geometry of projective varieties (with S. Di Rocco, L. Gustafsson). SIAM Journal on Applied Algebra and Geometry 8 (2024), no. 1, 89–113. (published version) (arXiv)
-
A computational view on the non-degeneracy invariant for Enriques surfaces (with R. Moschetti, F. Rota). Experimental Mathematics 33 (2024), no. 3, 400–421. (published version) (arXiv) (code)
-
Families of pointed toric varieties and degenerations (with S. Di Rocco). Mathematische Zeitschrift 301 (2022), no. 4, 4119–4139. (published version) (arXiv)
-
Compactifications of moduli of points and lines in the projective plane (with J. Tevelev). International Mathematics Research Notices (2022), no. 21, 17000–17078. (published version) (arXiv)
-
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces (with P. Gallardo, M. Kerr). Advances in Mathematics 381 (2021). (published version) (arXiv)
-
Point configurations, phylogenetic trees, and dissimilarity vectors (with A. Caminata, N. Giansiracusa, H.-B. Moon). Proceedings of the National Academy of Sciences of the United States of America (PNAS) March 23, 2021 118 (12). (published version) (arXiv)
-
Decomposition of Lagrangian classes on K3 surfaces (with K.-W. Lai, Y.-S. Lin). Mathematical Research Letters 28 (2021), no. 6, 1739–1763. (published version) (arXiv)
-
A Pascal's theorem for rational normal curves (with A. Caminata). Bulletin of the London Mathematical Society 53 (2021), no. 5, 1470–1485. (published version) (arXiv)
-
KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic automorphism of order four (with H.-B. Moon). Proceedings of the Edinburgh Mathematical Society (2) 64 (2021), no. 1, 99–127. (published version) (arXiv)
-
Equations for point configurations to lie on a rational normal curve (with A. Caminata, N. Giansiracusa, H.-B. Moon). Advances in Mathematics 340 (2018), 653–683. (published version) (arXiv) (minor correction)
-
K3 surfaces with \(\mathbb{Z}_2^2\) symplectic action. Rocky Mountain Journal of Mathematics 48 (2018), no. 7, 2347–2383. (published version) (arXiv)
-
The KSBA compactification of the moduli space of \(D_{1,6}\)-polarized Enriques surfaces. Mathematische Zeitschrift 300 (2022), no. 2, 1819–1850. (published version) (arXiv)
-
On the cone of effective 2-cycles on \(\overline{M}_{0,7}\). European Journal of Mathematics 1 (2015), no. 4, 669–694. (published version) (arXiv)