Fano threefolds as equivariant compactifications of the vector group
From MaRDI portal
Publication:2195014
DOI10.1307/mmj/1576033218zbMath1455.14071arXiv1802.08090OpenAlexW2787881233MaRDI QIDQ2195014
Publication date: 7 September 2020
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08090
Homogeneous spaces and generalizations (14M17) Rational points (14G05) Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45) Compactifications; symmetric and spherical varieties (14M27)
Related Items (4)
\(\mathbb{G}_a^3\)-structures on del Pezzo fibrations ⋮ On moment map and bigness of tangent bundles of \(G\)-varieties ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one ⋮ Equivariant compactifications of vector groups with high index
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singular del Pezzo surfaces that are equivariant compactifications
- Hassett-Tschinkel correspondence: Modality and projective hypersurfaces
- Uniqueness of equivariant compactifications of \(\mathbb{C}^n\) by a Fano manifold of Picard number 1
- Compactifications of \({\mathbb{C}}^ 3\). III
- A new construction of a compactification of \({\mathbb{C}}^ 3\)
- The classification of Fano 3-folds with torus embeddings
- Compactifications of \({\mathbb{C}}\) 3. I
- Compactifications of \({\mathbb{C}}^ 3\). II
- Simple models of quasihomogeneous projective 3-folds
- Classification of Fano 3-folds with \(B_ 2 \geq 2\)
- Rational connectedness and boundedness of Fano manifolds
- The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one
- A new example of a compactification of \(\mathbb{C}^ 3\)
- Equivariant completion
- On the distribution of points of bounded height on equivariant compactifications of vector groups.
- Compactification of \({\mathbb{C}}^ 3\) with reducible boundary divisor
- A new proof of a theorem of Ramanujam-Morrow.
- Integral points of bounded height on partial equivariant compactifications of vector groups
- Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\)
- Anti-pluricanonical systems on Fano varieties
- Unipotent commutative group actions on flag varieties and nilpotent multiplications
- Parabolic subgroups with Abelian unipotent radical
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Holomorphic mappings of polydiscs into compact complex manifolds
- Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\)
- Some problems on differentiable and complex manifolds
- Classical Algebraic Geometry
- Additive Actions on Projective Hypersurfaces
- Additive actions on toric varieties
- Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$
- Compactifications of C n
- Sur les variétés analytiques complexes
- The family of lines on the Fano threefold V5
- Convex bodies associated to linear series
- Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C3
- TOROIDAL FANO 3-FOLDS
- Fano compactifications of contractible affine 3-folds with trivial log canonical divisors
- Some structure theorems for algebraic groups
- Equivariant Compactifications of Two-Dimensional Algebraic Groups
- Hassett-Tschinkel correspondence and automorphisms of the quadric
- Sous-groupes algébriques de rang maximum du groupe de Cremona
- Compactifications of 𝐶²
- Threefolds whose canonical bundles are not numerically effective
This page was built for publication: Fano threefolds as equivariant compactifications of the vector group