This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four X ⊂ P4. In fact, if U ⊂ X is the open subset formed by deleting the lines from X, and H is the usual projective height function on P4(Q), then the height zeta function P x∈U(Q) H(x) −s is analytically continued to the half-plane 17/20.

BACKGROUND The extent of mitral annular (MA) remodeling and dysfunction is correlated with the severity of mitral regurgitation (MR) as well as left atrial (LA) and left ventricular (LV) dilation. MA dysfunction may be a useful prognostic factor for operative timing and MR recurrence after successful mitral valve (MV) repair. The aim of this study was to evaluate additive prognostic factors of ...

This case report provides background reviewing mortality rates associated with falls from height before detailing the clinical history of a patient who survived a fall from a height of 43 stories. A multidisciplinary team treated both orthopaedic and nonorthopaedic injuries with the ultimate goal of preserving potential for independent function. A discussion of relevant pathoanatomy seen after ...

OBJECTIVE Individuals with very low birth weight (VLBW; <1500 g) are known to be predisposed to both short final height and cardiometabolic disorders. However, associations between final height and cardiometabolic outcomes including glucose metabolism in VLBW individuals in young adulthood are not fully investigated. METHODS We investigated glucose metabolism and other cardiometabolic outcome...

This paper establishes the Manin conjecture for a certain non-split singular del Pezzo surface of degree four X ⊂ P 4. In fact, if U ⊂ X is the open subset formed by deleting the lines from X, and H is the usual projective height function on P 4 (Q), then the height zeta function P x∈U (Q) H(x) −s is analytically continued to the half-plane ℜe(s) > 17/20.

This paper contains a proof of the Manin conjecture for the singular del Pezzo surface X : x0x1 − x2 = x0x4 − x1x2 + x3 = 0, of degree four. In fact, if U ⊂ X is the open subset formed by deleting the unique line from X, and H is the usual height function on P(Q), then the height zeta function P x∈U(Q) H(x) −s is analytically continued to the half-plane 9/10. Mathematics Subject Classif...