Related papers: M_g is a union of g-1 affine open subsets
We prove that the moduli space $\mathcal{M}_g$ of smooth curves of genus $g$ is the union of $g-1$ affine open subsets for every $g$ with $2 \le g \le 5$, as predicted by an intriguing conjecture of Eduard Looijenga.
Paper withdrawn. There is a gap in the proof of Proposition 4.3 (its conclusion ``d'o\`{u} la proposition.'' is incorrect). Therefore theorems 1.1 and 3.1, which were the main results of the paper, are not proved.
This paper has been withdrawn by the author since it contains errors.
The paper is being withdrawn. A new submission will follow.
Let M be an irreducible normal algebraic monoid with unit group G. It is known that G admits a Rosenlicht decomposition, G=G_antG_aff, where G_ant is the maximal anti-affine subgroup of G, and G_aff the maximal normal connected affine…
This paper is withdrawn because of an error in Lemma 3.1
This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.
The paper has been withdrawn due to a crucial error in section 3.
We tried to show in this paper that CH implies: there is a homogeneous family of subset of omega which is maximal with respect to inclusion. The paper is currently "withdrawn", since a mistake has been discovered.
Let $G$ be a connected reductive group over a perfect field $k$. We study a certain normal reductive monoid $\overline M$ associated to a parabolic $k$-subgroup $P$ of $G$. The group of units of $\overline M$ is the Levi factor $M$ of $P$.…
This paper has been withdrawn.
We argue that supersymmetric grand unification of gauge couplings is not incompatible with small $\alpha_s$, even without large GUT-scale corrections, if one relaxes a usual universal gaugino mass assumption. A commonly assumed relation…
This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.
In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of V whose G-orbit has dimension m. We focus on the case of…
This paper has been withdrawn.
The paper is withdrawn.
Paper withdrawn. The argument was based on a misconception
The paper has been withdrawn
This paper has been withdrawn due to an incorrect proof.
The paper has been withdrawn.