3,465 research outputs found
Semistability and Hilbert-Kunz multiplicities for curves
We study Hilbert-Kunz multiplicity of non-singular curves in positive
characteristic. We analyse the relationship between the Frobenius semistability
of the kernel sheaf associated with the curve and its ample line bundle, and
the HK multiplicity. This leads to a lower bound, achieved iff the kernel sheaf
is Frobenius semistable, and otherwise to formulas for the HK multiplicity in
terms of parameters measuring the failure of Frobenius semistability. As a
byproduct, an explicit example of a vector bundle on a curve is given whose
-th iterated Frobenius pullback is not semistable, while its -th such
pullback is semistable, where is arbitrary.Comment: Latex2e, 12 pages, final version, revised as per the referee's
suggestions, to appear in Journal of Algebr
Symmetry Constraints in Inflation, -vacua, and the Three Point Function
The Ward identities for conformal symmetries in single field models of
inflation are studied in more detail in momentum space. For a class of
generalized single field models, where the inflaton action contains arbitrary
powers of the scalar and its first derivative, we find that the Ward identities
are valid. We also study a one-parameter family of vacua, called
-vacua, which preserve conformal invariance in de Sitter space. We find
that the Ward identities, upto contact terms, are met for the three point
function of a scalar field in the probe approximation in these vacua.
Interestingly, the corresponding non-Gaussian term in the wave function does
not satisfy the operator product expansion. For scalar perturbations in
inflation, in the -vacua, we find that the Ward identities are not
satisfied. We argue that this is because the back-reaction on the metric of the
full quantum stress tensor has not been self-consistently incorporated. We also
present a calculation, drawing on techniques from the AdS/CFT correspondence,
for the three point function of scalar perturbations in inflation in the
Bunch-Davies vacuum.Comment: 51 pages, 3 figures, 6 appendices. v3: JHEP version. Minor typos
correcte
IIMA in HealthCare Management: Abstract of Publications (2000-2010)
The Indian Institute of Management, Ahmedabad (IIMA), was established in 1961 as an autonomous institution by the Government of India in collaboration with the Government of Gujarat and Indian industry. IIMA’s involvement in the health sector started with the establishment of the Public Systems Group in 1975. In the initial period, our research focused on the management of primary healthcare services and family planning. We expanded our research activities to include the management of secondary healthcare services in the 80s and to tertiary healthcare services in the 90s. Currently our research interests focus on the governance and management issues in the areas on Rural Health, Urban Health, Public Health and Hospital Management. In June 2004, IIMA Board approved the setting up of a Centre for Management Health Services (CMHS) in recognition of IIMA’s contributions to the health sector in the past and the felt need to strengthen the management of health sector in the context of socio-economic developments of our country. The overall objectives of CMHS are to address the managerial challenges in the delivery of health services to respond to the needs of different segments of our population efficiently and effectively, build institutions of excellence in the health sector, and influence health policies and wider environments. All our research projects are externally funded and we have developed research collaborations with 15-20 international universities in USA, UK, Europe, and Asia. CMHS has also established strong linkages with the Ministry of Health and Family Welfare at the national and state government levels, particularly in the states of Gujarat, Maharashtra, Rajasthan, Madhya Pradesh, Chattisgarh, Orissa, and Bihar. This working paper is a compilation of the abstracts of all our publications in the last 10 years, which include 40 referred journal articles, 54 Working Papers, 19 Chapters in Books and 18 Case Studies.
A Note on the Effect of Wall Conduction on Heat Transfer in Couette Flow with and Without Injection
Problem of temperature distribution in transpiration cooled porous body and in hot gas stream have been solved in conjugation. The effect of wall conduction on heat transfer in Couette flow has been exhibited graphically and discussed
- …