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- Laura J. Hardie, Paul Trayhurn, Dan Abramovich, Paul J. Fowler
- Clinical endocrinology
- 1997

OBJECTIVE
To investigate whether leptin is linked to reproduction, circulating levels were measured longitudinally throughout spontaneous menstrual cycles and during pregnancy in normal women.
… (More)

- Dan Abramovich
- 1997

0.2. Structure of the proof. 1. As in [dJ], we choose a projection X 99K P of relative dimension 1, and apply semistable reduction to obtain a model X ′ → B over a suitable Galois base change B → P ,… (More)

- Dan Abramovich
- 1996

0.2. Remarks. The proof, which was included in the author’s thesis [א], follows closely a suggestion of N. Elkies. In the exposition here many details were added to the argument in [א]. We utilize… (More)

We make an observation which enables one to deduce the existence of an algebraic stack of log maps for all generalized Deligne– Faltings log structures (in particular simple normal crossings divisor)… (More)

- Dan Abramovich
- 2012

We show that the skeleton of the Deligne-MumfordKnudsen moduli stack of stable curves is naturally identified with the moduli space of extended tropical curves, and that this is compatible with the… (More)

- Dan Abramovich
- 1995

Let X be a variety of logarithmic general type, defined over a number field K. Let S be a finite set of places in K and let OK,S be the ring of S-integers. Suppose that X is a model of X over Spec… (More)

We describe a new approach to the definition of the moduli functor of stable varieties. While there is wide agreement as to what classes of varieties should appear, the notion of a family of stable… (More)

- Dan Abramovich, Angelo Vistoli

This note is a research announcement, summarizing and explaining results proven and detailed in forthcoming papers [ℵ-V1], [ℵ-V2], [ℵ-C-J-V]. 1. Moduli and stacks 1.1. Stacks as moduli objects. In… (More)

- Dan Abramovich, Dan Abramovich, YOUR NOTATION SUCKS
- 2006

When thinking about the course “birational geometry for number theorists” I so näıvely agreed to give at the Göttingen summer school, I cannot avoid imagining the spirit of the late Serge Lang, not… (More)

0. Introduction We work over an algebraically closed eld k of characteristic 0. 0.1. Statement. In this paper, we use techniques of toric geometry to reprove the following theorem: Theorem 0.1. Let X… (More)