55 research outputs found
The regularity index of up to 2n−1 equimultiple fat points of P^n
No full textAbstract. Let X = mP_1 + +mP_n+k be a fat point subscheme of P^n, where Supp(X) consists
of n + k distinct points which generate P^n: We study the regularity index tau (X) of X, which is the
least degree in which the Hilbert function of X equals its Hilbert polynomial. We prove that the
generalized Segre's bound for tau (X) holds if n>=4 and there are k+3 points of Supp(X) on a linear 3-dimensional
subspace. We assume Supp(X) is not in general position and call d the least integer for
which there exists a linear subspace of dimension d containing at least d+2 points of Supp(X).
We prove that the generalized Segre's bound holds for simple points when either 3<=k<=n+1
and d>k-3 or k = 4 with no restriction on d. For m greater than or equal to 2 we prove the generalized Segre's bound
when Supp(X) consists of n+4 points and either there are at least 3 points on a line or at least
5 points on a plane or at least 6 points on a linear 3-dimensional subspace. Finally we prove that, in
general, 2m-1<=tau(X) <= 2m when 3<=k<=n-1 and d > k-1; and we extend this result to
the non-equimultiple case. We also provide cases in which the previous bound gives the generalized
Segre's bound
REAL-TIME INTRAOPERATIVE FLUORESCENT LYMPHOGRAPHY A NEW TECHNIQUE FOR LYMPHATIC SPARING SURGERY
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AORTO-BISILIAC BYPASS USING A VENOUS HOMOGRAFT AND CONCOMITANT KIDNEY TRANSPLANTATION IN A PATIENT WITH SEVERE BILATERAL ILIAC OCCLUSIVE DISEASE: REPORT OF A CASE
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Page Kidney phenomenon following kidney transplant, secondary to acute postsurgical sub capsular hematoma compression: A case report
No full textPage kidney is one of secondary arterial hypertension forms and it is due to external compression of renal parenchyma. Hematomas, masses or fluid collection, that lead to activation of the renin-angiotensin-aldosterone system, resulting in systemic hypertension and then renal failure are the main causes.Nowadays higher necessity of kidney transplants led to more frequent use of marginal grafts, exposed to major risk of primary non function, delayed graft function or acute post-surgical complications such as capsular detachment and following hematoma. Page effect must be suspected when we notice serum creatinine increase, diuresis contraction and arterial hypertension.Doppler ultrasound (DUS) could allow diagnosis but CT scan may detect even very small hematomas that require urgent surgical drainage in order to obtain rapid recovery of renal function.We present the case of a 61-year-old man, with end-stage renal failure secondary to focal glomerulosclerosis, who underwent kidney transplantation from a deceased heart beating expanded criteria donor in October 2015.On postoperative day thirteen we observed a rapid and severe increase of serum creatinine, and for this reason patient underwent surgery for hematoma evacuation. During the immediate postoperative time we observed a rapid decrease of serum creatinine until stabilization in post-operative day four. Keywords: Kidney transplant, Page Kidney phenomenon, Vascular surgery complication, Sub capsular hematom
Real-time intraoperative fluorescent lymphography - a new technique for lymphatic sparing surgery
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