Integral points on a del Pezzo surface over imaginary quadratic fields
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Publication:6642320
DOI10.1007/S40993-024-00572-ZMaRDI QIDQ6642320
Publication date: 22 November 2024
Published in: Research in Number Theory (Search for Journal in Brave)
Rational and ruled surfaces (14J26) Quadratic extensions (11R11) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35)
Cites Work
- Singular del Pezzo surfaces that are equivariant compactifications
- Manin's conjecture for a certain family of intrinsic quadrics
- Igusa integrals and volume asymptotics in analytic and adelic geometry
- Manin's conjecture for quartic del Pezzo surfaces with a conic fibration
- Rational points of bounded height on Fano varieties
- On the number of rational points of bounded height on algebraic varieties
- Mixing, counting, and equidistribution in Lie groups
- Points of bounded height, adelic topology and Tamagawa measures.
- On the distribution of points of bounded height on equivariant compactifications of vector groups.
- Number of points of bounded height on del Pezzo surfaces of degree 5
- Heights and Tamagawa measures on Fano varieties
- Unipotent flows and counting lattice points on homogeneous varieties
- Integral points of bounded height on partial equivariant compactifications of vector groups
- Integral points of bounded height on compactifications of semi-simple groups
- Counting imaginary quadratic points via universal torsors
- O-minimality on twisted universal torsors and Manin's conjecture over number fields
- Cox Rings
- Forms in many variables
- Heights in number fields
- Tamagawa numbers of polarized algebraic varieties
- Manin's conjecture for toric varieties
- Equivariant Compactifications of Two-Dimensional Algebraic Groups
- Counting Integral Points on Universal Torsors
- Singular del Pezzo surfaces whose universal torsors are hypersurfaces
- Integral Points of Bounded Height on a Log Fano Threefold
- Integral points of bounded height on a certain toric variety
- Integral points on singular del Pezzo surfaces
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