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The moduli space of cubic fourfolds

- R. Laza
- Mathematics
- 24 April 2007

We describe the GIT compactification of the moduli space of cubic fourfolds, with a special emphasis on the role played by singularities. Our main result is that a cubic fourfold with only isolated… Expand

The moduli space of cubic fourfolds via the period map

- R. Laza
- Mathematics
- 7 May 2007

We characterize the image of the period map for cubic fourfolds with at worst simple singularities as the complement of an arrangement of hyperplanes in the period space. It follows then that the GIT… Expand

Semi-algebraic horizontal subvarieties of Calabi-Yau type

- R. Friedman, R. Laza
- Mathematics
- 26 September 2011

We study horizontal subvarieties $Z$ of a Griffiths period domain $\mathbb D$. If $Z$ is defined by algebraic equations, and if $Z$ is also invariant under a large discrete subgroup in an appropriate… Expand

Remarks on degenerations of hyper-K\"ahler manifolds

- J. Koll'ar, R. Laza, Giulia Saccà, C. Voisin
- Mathematics
- 10 April 2017

Using the Minimal Model Program, any degeneration of K-trivial varieties can be arranged to be in a Kulikov type form, i.e. with trivial relative canonical divisor and mild singularities. In the… Expand

Maximal Cohen–Macaulay modules over the cone of an elliptic curve

- R. Laza, G. Pfister, D. Popescu
- Mathematics
- 15 July 2002

Let R=k[Y1,Y2,Y3]/(f), f=Y13+Y23+Y33, where k is an algebraically closed field with chark≠3. Using Atiyah bundle classification over elliptic curves we describe the matrix factorizations of the… Expand

Deformations of singularities and variation of GIT quotients

- R. Laza
- Mathematics
- 30 June 2006

We study the deformations of the minimally elliptic surface sin- gularity N16. A standard argument reduces the study of the deformations of N16 to the study of the moduli space of pairs (C, L)… Expand

The KSBA compactification for the moduli space of degree two K3 pairs

- R. Laza
- Mathematics
- 14 May 2012

Inspired by the ideas of the minimal model program, Shepherd-Barron, Koll\'ar, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this… Expand

Recognizing the pitfalls of total quality management

- R. Laza, P. Wheaton
- Business
- 12 April 1990

Should utilities be interested in total quality management (TQM) After all, the argument that better quality products should increase the sales and result in higher profits does not readily apply to… Expand

The moduli space of cubic threefolds via degenerations of the intermediate Jacobian

- Sebastian Casalaina-Martin, R. Laza
- Mathematics
- 29 October 2007

Abstract A well known result of Clemens and Griffiths says that a smooth cubic threefold can be recovered from its intermediate Jacobian. In this paper we discuss the possible degenerations of these… Expand

Maximally algebraic potentially irrational cubic fourfolds

- R. Laza
- Mathematics
- 10 May 2018

A well known conjecture asserts that a cubic fourfold $X$ whose transcendental cohomology $T_X$ can not be realized as the transcendental cohomology of a $K3$ surface is irrational. Since the… Expand

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