# On Minimal Compactifications Of ℂ2

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### MINIMAL COMPACTIFICATIONS AND THEIR ASSOCIATED FUNCTION SPACES

the compactifications of X and the family of algebras so obtained. For any collection & of continuous functions Jy f : X K y , where K y is a compact r Hausdorff space, there is a smallest compactification to which the entire collec-tion & extends [9]. This minimal compactification can be realized by adjoining

### Minimal rational curves on wonderful group compactifications

Tome 2, 2015, p.153 170 DOI: 10.5802/jep.20 MINIMAL RATIONAL CURVES ON WONDERFUL GROUP COMPACTIFICATIONS by Michel Brion & Baohua Fu Abstract. ConsiderasimplealgebraicgroupG ofadjointt

### collection ' of continuous functions f : X -* Ky, where K is

the compactifications of X and the family of algebras so obtained. For any collection ' of continuous functions f : X -* Ky, where K is a compact Hausdorff space, there is a smallest compactification to which the entire collec-tion ' extends [9]. This minimal compactification can be realized by adjoining

### COMPACTIFICATIONS OF SUBVARIETIES OF TORI

COMPACTIFICATIONS OF SUBVARIETIES OF TORI 1089 be the closure of X/T X in P Gr. Let P vc ⊂P Gr be the toric open subset consisting of all T-orbits that intersect X vc. We consider X vc as a closure of X/T X in P vc (and not P Gr) to make the multiplication map surjective. THEOREM 1.7. X vc is a tropical compactiﬁcation of X/T X. Moreover, X

### 3. The case 4. The case Introduction

contributes to the wide literature on classi cation of minimal covolume lattices in semisimple Lie groups. For example, see the important very recent work of Gabai{Meyerho {Milley [GMM, Cor. 1.2] for the solution to the analogous problem for cusped hyperbolic 3-manifolds. The proofs of the above results follow an algebro-geometric approach

### Downloaded from cep.unep.org on complex-algebraic-varieties

complex-algebraic-varieties-proceedings-of-a-conference-held-in-bayreuth-germany-april-2-6-1990 3/7 Downloaded from cep.unep.org on March 28, 2021 by guest

### Type IIA Flux Compactifications

Minimal ingredients needed to evade no-go theorem in the -plane. Probably always one Kähler modulus unstabilized which leads to a runaway direction. 3/31/2010 - Cornell University (U,W) Type II Flux Compactifications Curvature No-go if No no-go IIA No no-go IIB F 0,H, O4-planes F 1,H, O3-planes F 0, O4-planes F 1, O3-planes F 2, O4-planes F 3