Jan Tomasz Gross, Irena Grudzinska Gross, Golden Harvest

On Gross Spaces

A Gross space is a vector space E of infinite dimension over some field F , which is endowed with a symmetric bilinear form Φ : E → F and has the property that every infinite dimensional subspace U ⊆ E satisfies dimU < dimE. Gross spaces over uncountable fields exist (in certain dimensions) (see [G/O]). The existence of a Gross space over countable or finite fields (in a fixed dimension not abo...

Gross Job Flows

Working papers from the Stockholm Institute of Transition Economics and East European Economies are preliminary in nature, and are circulated to promote discussion and critical comment. Any references to individual working papers should clearly state that the paper is preliminary. The views expressed here are the authors' own and not necessarily those of the Institute or any other organization ...

Gross-hacking-keel I

Examples 1.1. • Y ∼= P, D a nodal cubic. • Y a complete nonsingular toric surface, D the toric boundary (i.e, the complement of the big torus orbit Gm). • Blowups: Given a Looijenga pair (Y ,D), we can take “toric blowups,” where Y is the blowup of Y at a nodal point of D and D is the inverse image of D). Note that toric blowups do not change U . “non-toric blowups,” where Ỹ is the blowup of Y ...

Gross-zagier Revisited

ly isomorphic as rings are conjugate in B. 146 BRIAN CONRAD (APPENDIX BY W. R. MANN) Remark A.10. The order ( A mn A A ) in (2) is the intersection of the maximal orders M2(A) and γnM2(A)γ−1 n = ( A mn m−n A ) , where γn = ( 0 πn 1 0 ) . This example is called a standard Eichler order. Proof. For the first part, it suffices to show that the set R of elements of B integral over R is an order. Th...

Review of Gross Anatomy