# PROJECTIVE TORIC VARIETIES AS FINE MODULI SPACES OF QUIVER REPRESENTATIONS

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- Connected components of the moduli spaces of Abelian differentials with prescribed singularities. Kontsevich, Maxim; Zorich, Anton // Inventiones Mathematicae;Sep2003, Vol. 153 Issue 3, p631
Consider the moduli space of pairs (C,?) where C is a smooth compact complex curve of a given genus and ? is a holomorphic 1-form on C with a given list of multiplicities of zeroes. We describe connected components of this space. This classification is important in the study of dynamics of...

- Parabolic bundles on algebraic surfaces I -- The Donaldson--Uhlenbeck compactification. Balaji, V.; Dey, A.; Parthasarathi, R. // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Feb2008, Vol. 118 Issue 1, p43
The aim of this paper is to construct the parabolic version of the Donaldson-Uhlenbeck compactification for the moduli space of parabolic stable bundles on an algebraic surface with parabolic structures along a divisor with normal crossing singularities. We prove the non-emptiness of the moduli...

- The Moduli Scheme of Affine Spherical Varieties with a Free Weight Monoid. Bravi, Paolo; Steirteghem, Bart Van // IMRN: International Mathematics Research Notices;2016, Vol. 2016 Issue 15, p4544
We study Alexeev and Brion's moduli scheme MÎ“MÎ“ of affine spherical varieties with weight monoid Î“Î“ under the assumption that Î“Î“ is free. We describe the tangent space to MÎ“MÎ“ at its "most degenerate point" in terms of the combinatorial invariants of spherical...

- Virtual cohomology of the moduli space of curves in the unstable range. Clozel, L.; Venkataramana, T. N. // IMRN: International Mathematics Research Notices;1996, Vol. 1996 Issue 15, p723
The article discusses the virtual cohomology of the moduli space of curves in the unstable range. It notes that the cohomology space Hi(Mg), for i

- A Theorem on the Structure of the Ring A cris . Lin, Hao // Acta Mathematica Sinica;Jul2007, Vol. 23 Issue 7, p1333
In this paper, we give a new description for the structure of the p-adic period subring A cris using formal groups.

- THE MODULI PROBLEM FOR INTEGRABLE SYSTEMS: THE EXAMPLE OF A GEODESIC FLOW ON SO(4). BUEKEN, PETER; VANHAECKE, POL // Journal of the London Mathematical Society;10/01/2000, Vol. 62 Issue 2, p357
The moduli problem for (algebraic completely) integrable systems is introduced. This problem consists in constructing a moduli space of affine algebraic varieties and explicitly describing a map which associates to a generic affine variety, which appears as a level set of the first integrals of...

- Rationality of the moduli spaces of plane curves of sufficiently large degree. Böhning, Christian; Graf von Bothmer, Hans-Christian // Inventiones Mathematicae;Jan2010, Vol. 179 Issue 1, p159
We prove that the moduli space of plane curves of degree d is rational for all sufficiently large d.

- The Fermat cubic and special Hurwitz loci in Mg. Farkas, Gavril // Bulletin of the Belgian Mathematical Society - Simon Stevin;Dec2009, Vol. 16 Issue 5, p831
We compute the class of the compactified Hurwitz divisor TRd in M2d-3 consisting of curves of genus g = 2d - 3 having a pencil g1d with two unspecified triple ramification points. This is the first explicit example of a geometric divisor on Mg which is not pulled-back form the moduli space of...

- Deligne Products of Line Bundles over Moduli Spaces of Curves. Weng, L.; Zagier, D. // Communications in Mathematical Physics;Jul2008, Vol. 281 Issue 3, p793
We study Deligne products for forgetful maps between moduli spaces of marked curves by offering a closed formula for tautological line bundles associated to marked points. In particular, we show that the Deligne products for line bundles on the total spaces corresponding to ï¿½forgottenï¿½...