A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over \(\mathbb{P}^1\)
From MaRDI portal
Publication:6615405
DOI10.1016/j.jsc.2024.102357MaRDI QIDQ6615405
Publication date: 8 October 2024
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Surfaces and higher-dimensional varieties (14Jxx) Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Curves in algebraic geometry (14Hxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Normal factorization in \(\text{SL}(2,\mathbb{Z})\) and the confluence of singular fibers in elliptic fibrations
- The Picard numbers of elliptic surfaces with many symmetries
- On confluence of singular fibers in elliptic fibrations
- The topology of complex projective varieties after S. Lefschetz
- Differential equations associated with elliptic surfaces
- Complex surfaces and connected sums of complex projective planes
- Fast evaluation of holonomic functions
- L'arithmétique sur les courbes algébriques.
- On the integration of linear differential equations by means of series
- Local mirror symmetry and the sunset Feynman integral
- Analytic structure of all loop banana integrals
- On the periods of certain rational integrals. I, II
- On compact analytic surfaces. II
- Ore Polynomials in Sage
- NumGfun
- Elliptic Surfaces
- Elliptic Curve Cryptosystems
- Computing period matrices and the Abel-Jacobi map of superelliptic curves
- Introduction to Elliptic Fibrations
- A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants
- Periods of rigid double octic Calabi–Yau threefolds
- Computing periods of hypersurfaces
- Notes on elliptic curves. II.
- New rank records for elliptic curves having rational torsion
- On the rational solutions of the indeterminate equations of the third and fourth degrees.
- On the De Rham cohomology of algebraic varieties
- Computing Riemann matrices of algebraic curves
- Numerical computation of endomorphism rings of Jacobians
- Geometric variations of local systems and elliptic surfaces
- Effective homology and periods of complex projective hypersurfaces
This page was built for publication: A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over \(\mathbb{P}^1\)