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...

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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 ...

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...

Objective: Hyperactivity is a condition that causes children to be less focused, easily distracted by the environment, impulsivity and over activity. At toddler age it usually followed delays in gross motor development due lack of motion control causing lots unnecessary movements. Sensory Integration method processing information obtained through some human senses auditory, visual, tactile, as ...

I n health care liability claims, claimants often plead for recovery of exemplary/punitive damages from the defendant health care providers. These allegations often cause anxiety for the defendants, because invariably their professional liability insurance carrier sends them a letter stating that such claims—as well as any damages that may be awarded to compensate the claimant for such claims—a...

China’s economy is going through a major transition, characterized by a slower growth rate, a structural shift to the tertiary (service) sector, and industrial deleveraging—a process to reduce overcapacity that has built up in key industrial sectors over the past decades. Given the uncertainties that China is facing during its current economic transition, it is important to examine whether futu...

The period of limitations is the period of time in which you can amend your tax return to claim a credit or refund, or that the IRS can assess additional tax. The below information contains the periods of limitations that apply to income tax returns. Unless otherwise stated, the years refer to the period after the return was filed. Returns filed before the due date are treated as filed on the d...